I was in a similar boat. I separated without hearing anything from the airlines at all. I did apply to regionals just in case and got responses from them quickly, but they would be my absolutely last resort.
After about a month being unemployed, without doing any flying, I got two calls nearly back to back from CAL and from SWA. Interviewed with both and got hired by both. I did everything I could to make myself competitive. Job Fairs I think helped with CAL since I didn't really know anyone there, and I also got a 737 type for SWA.
It's been almost 4 mos now being unemployed and I haven't done any flying since separating. If I wasn't in any airline pool, I would at least visit my local FBO to keep my flying hours going.